I would check the closing statement again.
If you closed in December, and property tax is paid AFTER the year, it would seem more likely that the SELLER paid YOU 3,700 for their share of tax (for tax from January through November)
Perhaps, since you closed in December, the 2023 taxes were paid through the Title company, but I would still look for a debit from the Seller and a credit to you for the Sellers share.
If you paid 3,700 for one month, that would mean your property tax is about 44,000 a year, and that seems excessive.
If you can't figure it out, ask your real estate agent or the title company what you paid in 2023.
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